Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
36
84
180
381
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1
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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2
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If C(n, 7) = C(n, 5), find n
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3
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A polygon has 44 diagonals. What is the number of its sides?
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4
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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5
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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6
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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7
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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8
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A, B, C, and D are four points, any three of which are noncollinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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9
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
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10
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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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